12977410320 has 480 divisors, whose sum is σ = 51384782592. Its totient is φ = 2873622528.

The previous prime is 12977410301. The next prime is 12977410337. The reversal of 12977410320 is 2301477921.

12977410320 is a `hidden beast` number, since 1 + 297 + 7 + 41 + 0 + 320 = 666.

It is a super-2 number, since 2×12977410320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50495632 + ... + 50495888.

Almost surely, 2^12977410320 is an apocalyptic number.

12977410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12977410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25692391296).

12977410320 is an abundant number, since it is smaller than the sum of its proper divisors (38407372272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12977410320 is a wasteful number, since it uses less digits than its factorization.

12977410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12977410320 in words is "twelve billion, nine hundred seventy-seven million, four hundred ten thousand, three hundred twenty".